Trigonometric quadratic B-spline subdomain Galerkin algorithm for the Burgers' equation

被引：7

作者：

Ay, Buket ^{[1
]}

Dag, Idris ^{[1
]}

Gorgulu, Melis Zorsahin ^{[1
]}

机构：

[1] Eskisehir Osmangazi Univ, Math Comp Dept, Eskisehir, Turkey

来源：

OPEN PHYSICS | 2015年 / 13卷 / 01期

关键词：

Burgers' equation; Shock and travelling waves; Subdomain Galerkin method; Quadratic trigonometric B-splines; Crank-Nicolson method; NUMERICAL-SOLUTION; POLYNOMIAL CURVES;

D O I：

10.1515/phys-2015-0059

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A variant of the subdomain Galerkin method has been set up to find numerical solutions of the Burgers' equation. Approximate function consists of the combination of the trigonometric B-splines. Integration of Burgers' equation has been achived by aid of the subdomain Galerkin method based on the trigonometric B-splines as an approximate functions. The resulting first order ordinary differential system has been converted into an iterative algebraic equation by use of the Crank-Nicolson method at successive two time levels. The suggested algorithm is tested on some well-known problems for the Burgers' equation.

引用

页码：400 / 406

页数：7

共 50 条

[1] QUADRATIC TRIGONOMETRIC B-SPLINE GALERKIN METHODS FOR THE REGULARIZED LONG WAVE EQUATION
Irk, Dursun
Keskin, Pinar
[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (02): : 617 - 631
[2] Numerical solutions of the coupled Burgers' equation by the Galerkin quadratic B-spline finite element method
Kutluay, S.
Ucar, Y.
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (17) : 2403 - 2415
[3] B-spline Galerkin methods for numerical solutions of the Burgers' equation
Dag, I
Saka, B
Boz, A
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 166 (03) : 506 - 522
[4] A quadratic trigonometric B-Spline as an alternate to cubic B-spline
Samreen, Shamaila
Sarfraz, Muhammad
Mohamed, Abullah
[J]. ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (12) : 11433 - 11443
[5] Higher Order Trigonometric B-spline Algorithms to the Solution of Coupled Burgers' Equation
Onarcan, Aysun Tok
Hepson, Ozlem Ersoy
[J]. 6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2017), 2018, 1926
[6] Numerical solution of Burgers' equation by quadratic B-spline finite elements
Özis, T
Esen, A
Kutluay, S
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 165 (01) : 237 - 249
[7] Trigonometric tension B-spline collocation approximations for time fractional Burgers' equation
Singh, Brajesh Kumar
Gupta, Mukesh
[J]. JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2024, 9 (05) : 508 - 516
[8] Numerical solution of the coupled Burgers equation by trigonometric B-spline collocation method
Ucar, Yusuf
Yagmurlu, Nuri Murat
Yigit, Mehmet Kerem
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (05) : 6025 - 6041
[9] TRIGONOMETRIC B-SPLINE COLLOCATION ALGORITHM FOR SOLVING THE RLW EQUATION
Dag, I.
Irk, D.
Kacmaz, O.
Adar, N.
[J]. APPLIED AND COMPUTATIONAL MATHEMATICS, 2016, 15 (01) : 96 - 105
[10] A Quadratic B-Spline Galerkin Approach for Solving a Coupled KdV Equation
Kutluay, Selcuk
Ucar, Yusuf
[J]. MATHEMATICAL MODELLING AND ANALYSIS, 2013, 18 (01) : 103 - 121

← 1 2 3 4 5 →